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    MEP: Demonstration Project Y7A, Unit 10

    © The Gatsby Charitable Foundation

    UNIT 10  Arithmetic: Fractions   Activities

    Activities

    10.1 Introducing Fractions

    10.2 Making Fractions

    10.3 Equivalent Fractions 1

    10.4 Equivalent Fractions 2

    10.5 Equivalent Fractions 3

    Notes and Solutions (2 pages)

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    MEP: Demonstration Project Y7A, Unit 10

    © The Gatsby Charitable Foundation

    Ask 8 pupils to come to the front of the class.

    They are to stand  if the answer to the question is 'yes' and sit down if the answer is 'no'.

    The class have to state, for each question, what fraction of the children at the front are

    standing.

    1. Are you a girl?

    2. Are you age 11?

    3. Do you have a brother?

    4. Do you have more than one brother or sister?

    5 . Do you suppor t Manchester United?

    6. Do you p lay a musical inst rument?

    7. Do you have a pet animal?

    8. Do you like eating peanuts?

    9. Did you watch  Neighbours yesterday?

    10. Do you like Maths?

    The activity can be repeated with different size groups or even the whole class!

    This is a whole class activity

    ACTIVITY 10.1  Introducing Fractions

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    MEP: Demonstration Project Y7A, Unit 10

    © The Gatsby Charitable Foundation

    ACTIVITY 10.2  Making Fractions

    This activity can be carried out as a competition with two groups of 3 pupils at the front of 

    the class, or as a whole class activity.

    One pupil is given a horizontal bar made out of card (which can be used as a minus sign or

    a fraction line); the other two pupils are each given one piece of stiff card, hardboard or

    similar, with a single digit on it. The numbers must be large enough for the whole class to

    see them.

    Start with the two numbers 6 and 9, written so that they can be used either way up to

    create '6 and 6' or '9 and 9' as well as '6 and 9'.

    6    6

    1. Ask the three pupils to use their three cards to show:

    (a) the smallest  fraction possible,

    (b) the largest  fraction possible,

    (c) one,

    (d) one in a di fferent way.

    Now introduce another set of digits, e.g. 1, 2 and 4, and the horizontal bar, this time with

    groups of 4 pupils.

    2. Ask the pupils to show, using all three digits:

    (a) the smallest  fraction,

    (b) the largest  fraction,

    (c) the fract ion nearest to one half ,(d) three.

    Many other questions can be posed with different sets of digits.

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    MEP: Demonstration Project Y7A, Unit 10

    © The Gatsby Charitable Foundation

    This is an activity for the whole class and is best put into practice with the pupils in rows of 

    equal numbers (see sketch below).

    Each pupil in Column 1 is given a

    sheet of paper with just one fraction

    on it – but with space for another

    7 fractions.

    They each write down a fraction which

    is equivalent to the one already on the

    paper, and quickly pass it on to their

    neighbour in the row.

    The process continues until the last person in the row writes down their equivalent fraction.

    Note that:

    1. all entries must be written in secret so that pupils in

    other rows cannot see what is being written;

    2. all equivalent fractions must be different along the

    row;

    3. you must check the papers to see that the fractions

    are all correct (another version is for pupils to write

    their fractions on an OH slide, and then put them on

    the OHP to check).

    Variation

    1. The first pupil in the row chooses the fraction.

    2 . Use Columns ra ther than Rows.

    3. Give more complicated fractions (e.g.25

    100

    3

    51 or ).

    ACTIVITY 10.3  Equivalant Fractions 1

    1 2 3 4 5 6 7

    Columns

     Rows

    1

    2

    3

    4

    1

    3

    1

    4

    1

    5

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    MEP: Demonstration Project Y7A, Unit 10

    © The Gatsby Charitable Foundation

    ACTIVITY 10.4  Equivalent Fractions 2

    0

    1

    1

    1

    1212

    11

    11

    10

    10

    9

    9

    8

    8

    7

    7

    6

    6

    55

    4

    4

    3

    3

    1

    2

    2

    2

    912

    612

    312

    412

    812

    212

    112

    512

    712

    1012

    1112

    1

    11

    2

    11

    3

    11

    4

    11

    5

    11

    6

    11

    7

    11

    8

    11

    9

    11

    10

    11

    5

    10

    2

    10

    8

    10

    9

    10

    7

    10

    6

    10

    4

    10

    3

    10

    1

    10

    3

    9

    6

    9

    2

    9

    1

    9

    4

    9

    5

    9

    7

    9

    8

    9

    2

    8

    4

    8

    6

    8

    7

    8

    5

    8

    3

    8

    1

    8

    1

    7

    2

    7

    3

    7

    4

    7

    5

    7

    6

    7

    4

    6

    3

    6

    2

    6

    1

    6

    5

    6

    15

    45

    25

    35

    3

    4

    2

    4

    1

    4

    2

    3

    1

    3

    012

    0

    11

    0

    10

    0

    9

    0

    8

    0

    7

    0

    6

    05

    0

    4

    0

    3

    0

    2

    To find a fraction equivalent to3

    5, place a ruler vertically at

    3

    5. The fraction

    6

    10  is on

    the same line, so3

    5 and

    6

    10  are equivalent fractions.

    Using the  fraction chart and a ruler, write down the equivalent fractions of each of the

    following:

    1. 12

    = 2. 23

    = 3.   26

    = 4.   15

    = 5.3

    4=

    Fraction Chart 

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    MEP: Demonstration Project Y7A, Unit 10

    © The Gatsby Charitable Foundation

    ACTIVITY 10.5  Equivalent Fractions 3

    Complete each of the following so that the fractions in are equivalent to those in :

    1. 2.

    5

    6

    18

    12

    24

    36

    3

    4

    28

    12

    100

    40

    12

    3

    16

    24

    6

    6010

     5

    3

    15

    100

    20

    5. 6.

     40 21

    60

    3

    7

    35

    2164

    2

     2

    4

    8

    3. 4.

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    MEP: Demonstration Project Y7A, Unit 10

    © The Gatsby Charitable Foundation

    ACTIVITIES 10.1 - 10.5   Notes and Solutions

     Notes and solutions are given only where appropriate.

    10.2 1. (a)6

    9(b)

    9

    6  (c) and (d)

    6

    6

    9

    9  or

    2. (a)1

    42(b)

    42

    1  (c)

    4

    12(d)

    12

    4

    10.4 1.  1

    2

    2

    4

    3

    6

    4

    8

    5

    10

    6

    12= = = = =

    2.2

    3

    4

    6

    6

    9

    8

    12= = =

    3.2

    6

    1

    3

    3

    9

    4

    12= = =

    4.1

    5

    2

    10=

    5.3

    4

    6

    8

    9

    12= =

    10.5  1. 2.

    18

    36

    5

      6

    12

    2428

    12

    3

      4

    100

    40

    9

    21 75

    30

    20

    10

    30

    15

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    MEP: Demonstration Project Y7A, Unit 10

    © The Gatsby Charitable Foundation

    ACTIVITY 10.5   Notes and Solutions

    3. 4.

    5. 6.

    49

    140

     3

     7

    35

    2180

    4

    4

     8

    64

     2

    2

    40 32

    1

    21 9

    15

    60

    12

    3

    16

     24

    6

    6010

    5

    3

     15

    100

     20

    1

    2 20

    4

    8 40

    4

    2